Linear Algebra Q:

In RREF form

1 0 1 5
0 1 0 -1
0 0 0 0

so x+z=5 and y=-1....is z a free variable? how would i write up the soln to this matrix?

Question

Linear Algebra Q:

In RREF form

1 0 1 5 
0 1 0 -1 
0 0 0 0

so x+z=5 and y=-1....is z a free variable? how would i write up the soln to this matrix?

amistre64 · Answer

what was wrong with the other solution?

amistre64 · Answer

since the last row is all zeros, there is an infinite number of solutions; 0 always = 0

amistre64 · Answer

yes, the 3rd variable is free so you would have an homogenous part and a particular part

amistre64 · Answer

z<-1,0,1> + <5,-1,0> would be parametric solution

anonymous · Answer

so, would z=t and then x=5-t?  than kyou for ur response....if u posted  previous respnses,....i did n't see them.  apologies

amistre64 · Answer

thats one way to write it up yes :)

anonymous · Answer

much appreciated